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UKL Mathematical Society (UKL MathSoc)
Soon the old thread will be deleted, and this will be the new home of the UKL Non-selective mathematical society. The current unsolved problems will be kept updated on the front page of this thread. New problems will be introduced regularly.
While we await the introduction of LaTeX to the forum, some useful symbols are below
∫ x² x³ ± ÷ °
√∂ ∞ ≈ ≠ ≡ σ
ø Ø θ ½ ¼ « » µ π
Rules for joining
There aren't any, apart from let us know that you are joining by posting in reply to the thread so your name can be added to the members list.
Current Problems
Unsolved:
1) If x and y are prime numbers, solve the equation x^y - y^x = x.y^2 - 19. Proof Required.
6)Find all non-negative integer solutions to (5^a)(7^b) + 4 = 3c.
7) Find all integer solutions to m2n + 1 = m2 + 2mn + 2m + n.
8) F(x,y) = ø(2x + y²), where ø is an arbitrary differentiable function on one variable.
Find ∂F/∂x and ∂F/∂y.
Solve the following,
9) d²y/dx² + 2dy/dx = e^(2x); with y=0 and dy/dx=1 at x=0.
10) d²θ/du² = 1/u² (u>0); with θ=1 and dθ/du=2 at u=1.
11) A plane is drawn through the three points A(2,1,0), B(0,1,3) and C(1,0,1). Find a vector perpindicular to this plane.
Solved:
2) Find an expression for √2 involving pi.
3) Find all triples of positive integers (a,b,c) such that (1 + 1/a)(1 + 1/b)(1 + 1/c) = 2. Solved by Ralfskini.
4) The polynomial problem (click here). Solved by shiny.
5) Find the smallest integer n > 1 such that (1² + 2² + 3² + ... + n²)/n is a square. Solved by meepmeep (337).
Current Members (61)
theone
Ralfskini
shiny
It'sPhil...
lou p lou
chrisbphd
lgs98jonee
Hoofbeat
silent p...?
kikzen
Babygal
Leeroy
FaerieLand
Daveo
Chud
Eddie87-04
Mysticmin
chandoug
orange_soap
Bosslady
IntegralAnomaly
ruth_lou
Katie Heskins
Zapsta
mikesgt2
ZJewelH
4Ed
integral_neo
zombie
JamesF
me!
capslock
jimmy_c
samdavyson
meepmeep
KOH
jyuk
Drederick Tatum
happysunshine
burje-t
musicboy
Kaiel
®eAl ©uTe Eye$
Mathemagician
David Frank
SiAnY
TheWolf
tammypotato
kamsingh
hornblower
IZZY!
jinsisi
Hawk
r perry
Undryl
shushimeng
mrjoe
sumi2000
Rustyk1
Kupo nut
ogs
While we await the introduction of LaTeX to the forum, some useful symbols are below
∫ x² x³ ± ÷ °
√∂ ∞ ≈ ≠ ≡ σ
ø Ø θ ½ ¼ « » µ π
Rules for joining
There aren't any, apart from let us know that you are joining by posting in reply to the thread so your name can be added to the members list.
Current Problems
Unsolved:
1) If x and y are prime numbers, solve the equation x^y - y^x = x.y^2 - 19. Proof Required.
6)Find all non-negative integer solutions to (5^a)(7^b) + 4 = 3c.
7) Find all integer solutions to m2n + 1 = m2 + 2mn + 2m + n.
8) F(x,y) = ø(2x + y²), where ø is an arbitrary differentiable function on one variable.
Find ∂F/∂x and ∂F/∂y.
Solve the following,
9) d²y/dx² + 2dy/dx = e^(2x); with y=0 and dy/dx=1 at x=0.
10) d²θ/du² = 1/u² (u>0); with θ=1 and dθ/du=2 at u=1.
11) A plane is drawn through the three points A(2,1,0), B(0,1,3) and C(1,0,1). Find a vector perpindicular to this plane.
Solved:
2) Find an expression for √2 involving pi.
3) Find all triples of positive integers (a,b,c) such that (1 + 1/a)(1 + 1/b)(1 + 1/c) = 2. Solved by Ralfskini.
4) The polynomial problem (click here). Solved by shiny.
5) Find the smallest integer n > 1 such that (1² + 2² + 3² + ... + n²)/n is a square. Solved by meepmeep (337).
Current Members (61)
theone
Ralfskini
shiny
It'sPhil...
lou p lou
chrisbphd
lgs98jonee
Hoofbeat
silent p...?
kikzen
Babygal
Leeroy
FaerieLand
Daveo
Chud
Eddie87-04
Mysticmin
chandoug
orange_soap
Bosslady
IntegralAnomaly
ruth_lou
Katie Heskins
Zapsta
mikesgt2
ZJewelH
4Ed
integral_neo
zombie
JamesF
me!
capslock
jimmy_c
samdavyson
meepmeep
KOH
jyuk
Drederick Tatum
happysunshine
burje-t
musicboy
Kaiel
®eAl ©uTe Eye$
Mathemagician
David Frank
SiAnY
TheWolf
tammypotato
kamsingh
hornblower
IZZY!
jinsisi
Hawk
r perry
Undryl
shushimeng
mrjoe
sumi2000
Rustyk1
Kupo nut
ogs
Scroll to see replies
What on earth is this?
Is it terribly hard?
2776
OK this question is still unresolved:
We have 6 rods of UNIFORM LENGTH you need to make 3 equaliteral triangles. (rods cannot be broken/bent in any fashion) Thats all the rules.
Rep to every single unique/novel answer.
Think laterally mathematicians, I know you can do it.
We have 6 rods of UNIFORM LENGTH you need to make 3 equaliteral triangles. (rods cannot be broken/bent in any fashion) Thats all the rules.
Rep to every single unique/novel answer.
Think laterally mathematicians, I know you can do it.
okay..
a triangle base with sloping sides that meet in a point at the top..
am i right!!
2776
OK this question is still unresolved:
We have 6 rods of UNIFORM LENGTH you need to make 3 equaliteral triangles. (rods cannot be broken/bent in any fashion) Thats all the rules.
Rep to every single unique/novel answer.
Think laterally mathematicians, I know you can do it.
We have 6 rods of UNIFORM LENGTH you need to make 3 equaliteral triangles. (rods cannot be broken/bent in any fashion) Thats all the rules.
Rep to every single unique/novel answer.
Think laterally mathematicians, I know you can do it.
Do all rods have to be used?
2776
OK this question is still unresolved:
We have 6 rods of UNIFORM LENGTH you need to make 3 equaliteral triangles. (rods cannot be broken/bent in any fashion) Thats all the rules.
Rep to every single unique/novel answer.
Think laterally mathematicians, I know you can do it.
We have 6 rods of UNIFORM LENGTH you need to make 3 equaliteral triangles. (rods cannot be broken/bent in any fashion) Thats all the rules.
Rep to every single unique/novel answer.
Think laterally mathematicians, I know you can do it.
Couldn't you just make a pyramid, sorry if someone has already said that.
Related discussions
- Nursing or radiography
- Advice from a third year
- Lancaster and Reading
- Mathematics VS. Technology (jobs)
- Maths BSc
- Official Heriot-Watt University 2023 Applicant Thread
- Reading University Mathematics
- What should I do to get in Cambridge economics?
- Anyone going to Exeter for CS?
- Lancaster Uni Uncovered - Tips and Useful links
- University of Sheffield - International relations and Politics?
- Why I chose to study Computer Science
- University of Sheffield Biochemistry Student- Ask Me Anything!
- Mathematics degree
- University of Sheffield City Accommodation
- Mathematics at Cambridge
- UCL History Politics and Economics vs LSE International History
- considering going to uni at 29
- Computer science: a world beyond coding
- Best universities for a mathematics degree?
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